We address here some computational aspects of the natural-mode ยฎnite element method (NM-FEM), a technique recently developed by the authors for the analysis of arbitrary composite shells. We consider in particular a model problem comprising a 45a ร 45a0a90 S cylindrical composite shell with 2398 deg
Computational aspects of the stochastic finite element method
โ Scribed by Michael Eiermann; Oliver G. Ernst; Elisabeth Ullmann
- Book ID
- 106237831
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 491 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1432-9360
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## Abstract This paper focuses on the computation of statistical moments of strains and stresses in a random system model where uncertainty is modeled by a stochastic finite element method based on the polynomial chaos expansion. It identifies the cases where this objective can be achieved by analy
The conventional finite element method dealing with stochastic problems is based on series expansion of stochastic quantities with respect to basic stochastic deviations, by means of either Taylor expansion, perturbation technique or Neumann expansion. The first-order approximation of the mean respo